Couple of questions for those who have flown through Delhi/Bombay, maybe in Jet Airways:

Do the people at the Delhi or Bombay airport take and hold your passport while you are transitting through?

If it is Jet Airways all the way from Nepal to USA and the layover at Delhi or Bombay Airport is around 8 hours, do they require you to get your checked-in luggage out and re-check in when boarding?

Thanks.